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If a , b , c are in A.P. , prove that ...

If a , b , c are in A.P. , prove that ` a ((1)/(b) +(1)/(c)) , b((1)/(c) +(1)/a), c((1)/(a) +(1)/(b))` are in A.P. ` (a , b, c, ne 0)`

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